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Finding the Fourth Proportional to 557,116.38, 768,829.86 and 302,467.50

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Solution

The fourth proportional to 557,116.38, 768,829.86 and 302,467.50 is: 417,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,116.38 : 768,829.86 = 302,467.50 : x
  2. Step 2: Convert to fraction form
    557,116.38/768,829.86 = 302,467.50/x
  3. Step 3: Cross multiply
    557,116.38x = 768,829.86 × 302,467.50
  4. Step 4: Simplify right side
    557,116.38x = 232,546,045,679.55
  5. Step 5: Solve for x
    x = 232,546,045,679.55/557,116.38
  6. Step 6: Final answer
    x = 417,410.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.